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Finding the Fourth Proportional to 1,084.98, 1,627.47 and 263.26

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Solution

The fourth proportional to 1,084.98, 1,627.47 and 263.26 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.98 : 1,627.47 = 263.26 : x
  2. Step 2: Convert to fraction form
    1,084.98/1,627.47 = 263.26/x
  3. Step 3: Cross multiply
    1,084.98x = 1,627.47 × 263.26
  4. Step 4: Simplify right side
    1,084.98x = 428,449.79
  5. Step 5: Solve for x
    x = 428,449.79/1,084.98
  6. Step 6: Final answer
    x = 394.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.